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Converting fractions to any kind of decimal is done in exactly the same way: divide the numerator by the denominator.
The reverse of converting a recurring decimal to a fraction is done:
Look at the digits that recur in the decimal. Count how many there are and then put the recurring digits as the numerator of a fraction with that number of 9s as the denominator.
eg to convert 0.33333.... to a fraction, see that the recurring decimal is the digit 3, thus the fraction would be 3/9 = 1/3.
eg to convert 0.09090909... to a fraction, see that the recurring decimal is 09 (or 9) and there are 2 digits (the leading 0 is important in counting the number of digits), thus the fraction is 09/99 or 9/99 = 1/11.
eg: to convert: 0.142857142857.... to a fraction, see that the digits 142857 recur and there are 6 of them, thus it is 142857/999999 which reduces down (simplifies) to 1/7.
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What can a calculator convert?
A calculator can convert numbers that appear as decimals into numbers that appear as fractions. Fractions are generally considered more easy to use then decimals.
When given a problem with decimals and fractions should you convert them to all decimals or all fractions?
It really doesn't matter whichever one you are more comfortable with. fractions are a bit more challenging to convert.
How is fraction related to decimal?
They can show the same number, just in different ways. You can convert fractions into decimals or decimals into fractions.
How do you compare dissimilar fractions compare the numerator?
Two ways: convert them to decimals or convert them to similar fractions and compare the numerators.
What is a definition for ordering fractions?
to order fractions you can cross multiply two fractions at a time or you can convert all the fractions into decimals.
